Yes, evolution is still available in Pokemon Black and White, although like most generations, some of the new Pokemon introduced have no evolutions and therefore will not evolve, such as Audino and Durant.
Happiny
Vulcurna does not evolve. It is the 2 and final stage.
It is where you can evolve an Eevee into Glaceon.
Finneon evolves into Lumineon at Level 31
It'll evolve at level 40. It may take awhile.
narrow the question to a specific Pokemon
Carracosta does not evolve
Happiny
The only Pokemon from Black/White you can evolve with a moon stone is Munna to Musharna.Otherwise, you can use a moonstone to evolve these Pokemon from previous generations while they are in Pokemon Black/White.Nidorina -> NidoqueenNidorino -> NidokingClefairy -> ClefableJigglypuff -> WigglytuffSkitty -> Delcatty
Absol doesn't evolve.
Roggenrola evolves at level 25 into Boldore on Pokemon Black.
Only by trade.
Vulcurna does not evolve. It is the 2 and final stage.
lv 27
Level 26
All the starters evolve in Pokemon Black. Many other Pokemon evolve as well.
Weavile does not evolve in Pokemon Black.